Dean Mouhtaropoulos/Getty Images

That's it for the live commentary tonight then, thanks once again for joining me here on Bleacher Report and I hope you enjoyed what was a very good technical and tactical game.

We'll be back tomorrow night with more European action; I'll be providing coverage of Liverpool vs. Udinese in the Europa League from around 8pm UK time / 3pm ET, so make sure you join me for that.

Thanks once more and see you again soon!

In the other match in this group, Manchester City have scored a late goal at home to Borussia Dortmund, rescuing a point—their first one in the group this season.

It has finished there City 1-1 Dortmund.

That leaves the group looking thus:

Real Madrid, 6 points

Borussia Dortmund, 4 points

Manchester City, 1 point

Ajax, 0 points.

Well it's a comprehensive win in the end for Real Madrid as they make it six points from six in the Champions League. Ajax fought back for 20 minutes or so after pulling back one goal in the second half, but Real were full value for their win and showed their superiority in the final minutes of the game.

A hat-trick for Cristiano Ronaldo makes it six goals in two games for his club, and four in two games in the Champions League this season.

Full time at the Amsterdam Arena

Ajax 1 Real Madrid 4

90+1'—Benzema is looking for a second goal himself and barges through a challenge on the edge of the box before drilling a shot at goal, but Vermeer—not for the first time tonight—pulls off a good save, diving away to his right.

Three minutes of added time to be played.

89'—No. Casillas claims the ball easily after it is headed back into the six yard box. Just a few seconds left, plus injury time.

88'—Lukoki drives down the right flank for Ajax and beats Pepe for pace, but his cross is cleared behind by Arbeloa. Can Ajax snatch a late second goal?

87'—If you're quick, you may get a view here of the Karim Benzema bicycle kick goal:

85'—Ronaldo is searching out a fourth goal of the night for himself, running in at the near post for Benzema's cross, but Moisander defends well and makes enough of a block to put the Portuguese forward off. 

84'—Ajax search out a consolation second goal from a corner, but the delivery is poor and Real clear. Hoesen crosses back into the six yard box from the left side but nobody is gambling on it and Xabi Alonso has the time to control and turn, just metres from his own goal line. The home side have pretty much given up here.

Ajax sub: Ryan Babel off, Jody Lukoki on.

Definitely game over now. Ronaldo is waiting for the through ball which duly arrives at his feet from the right flank, and he deftly lifts the ball over the onrushing Vermeer and into the far corner of the goal, for a very impressive Champions League hat-trick.

Dean Mouhtaropoulos/Getty Images

GOOOOAAAALLLL!!!!

Ajax 1 Real Madrid 4

Cristiano Ronaldo, hat-trick, 80 mins

Game over now surely. Benzema and Ronaldo interchange passes three times down the left side, both showing incredible technique and agility, before the former passes back to the latter and Ronaldo bends the ball inside the far post from 25 yards.

Dean Mouhtaropoulos/Getty Images

GGGGOOOOAAALLLL!!!!!

Ajax 1 Real Madrid 3

Cristiano Ronaldo, 78 mins

Real Madrid sub: Sami Khedira on for Michael Essien.

David Ramos/Getty Images

76'—After a brief signal loss, we're back with the game—and Ryan Babel has pulled Marcelo to the ground beside the Real Madrid goal-line. Ajax fans unhappy at the amount of time Iker Casillas is taking over the free kick.

73'—The game is very much back and forth now; Ajax pressing forward at every opportunity but Real Madrid are counter-attacking at pace.

Real Madrid sub: Mesut Ozil on for Kaka.

Dean Mouhtaropoulos/Getty Images

70'—We've seen very little of Christian Eriksen for Ajax tonight, even when they have tried to press and create chances from the final third. Can he have an impact as the Dutch team look for a point which looked very unlikely 20 minutes ago?

Ajax sub: Christian Poulsen goes off, replaced by Sporkslede.

67'—GREAT CHANCE!!!! Ajax should be level. Easy as that. Babel sends a great cross over from the right, de Jong fails to make contact in the six yard box and Hoesen, just on the field, turns his shot at the far post over the bar. Will Ajax get a better chance to equalise than that?

67'—Borussia Dortmund have taken the lead at Manchester City in the other match in this group; 1-0 there at the Etihad Stadium.

Ajax sub: Tobias Sana off, Daniel Hoesen comes on.

63'—Di Maria has his first involvement, cutting in from the right flank onto his left foot and shooting low towards the centre of the goal; Vermeer is unsighted but gets down late to parry the ball away. Good save in the end.